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Finding the Fourth Proportional to 255.86, 353.05 and 162.44

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Solution

The fourth proportional to 255.86, 353.05 and 162.44 is: 224.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.86 : 353.05 = 162.44 : x
  2. Step 2: Convert to fraction form
    255.86/353.05 = 162.44/x
  3. Step 3: Cross multiply
    255.86x = 353.05 × 162.44
  4. Step 4: Simplify right side
    255.86x = 57,349.44
  5. Step 5: Solve for x
    x = 57,349.44/255.86
  6. Step 6: Final answer
    x = 224.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.